51114240 has 360 divisors, whose sum is σ = 200332440. Its totient is φ = 12386304.

The previous prime is 51114227. The next prime is 51114241. The reversal of 51114240 is 4241115.

It can be written as a sum of positive squares in 4 ways, for example, as 10969344 + 40144896 = 3312^2 + 6336^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×51114240² = 5225331061555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51114241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762546 + ... + 1762574.

It is an arithmetic number, because the mean of its divisors is an integer number (556479).

Almost surely, 2^51114240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100166220).

51114240 is an abundant number, since it is smaller than the sum of its proper divisors (149218200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51114240 is a wasteful number, since it uses less digits than its factorization.

51114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51114240 is about 7149.4223542885. The cubic root of 51114240 is about 371.1196665239.

Adding to 51114240 its reverse (4241115), we get a palindrome (55355355).

The spelling of 51114240 in words is "fifty-one million, one hundred fourteen thousand, two hundred forty".